MATH 4540

Last Updated

  • Schedule of Classes - July 2, 2025 11:52AM EDT
  • Course Catalog - March 17, 2025 8:31AM EDT

MATH 4540
Introduction to Differential Geometry

Course information provided by the 2024-2025 Catalog. Courses of Study 2024-2025 is scheduled to publish mid-June.

Differential geometry involves using calculus to study geometric concepts such as curvature and geodesics. This introductory course focuses on the differential geometry of curves and surfaces. It may also touch upon the higher-dimensional generalizations, Riemannian manifolds, which underlie the study of general relativity.


Prerequisites/Corequisites Prerequisite: a semester of linear algebra (MATH 2210, MATH 2230, MATH 2310, or MATH 2940) and a semester of multivariable calculus (MATH 2220, MATH 2240, or MATH 1920), or equivalent.

Last 4 Terms Offered 2025SP, 2024SP, 2023SP, 2022SP

Distribution Category (SMR-AS) (MQL-AG, OPHLS-AG)

When Offered Spring.

Comments Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

View Enrollment Information

Syllabi: none

  •   Regular Academic Session.  Choose one lecture and one project.

  • 4 Credits Stdnt Opt

  •  3107 MATH 4540   LEC 001

  •  
    • TR
    • Jan 21 - May 6, 2025

    • Cao, X

  • Instruction Mode: In Person

  •  9370 MATH 4540   PRJ 601

  •  
    • Jan 21 - May 6, 2025

    • Cao, X

  • Instruction Mode: In Person